Weak KKM theorems in generalized finitely continuous space with applications

被引：0

作者：

方勉

王磊

机构：

[1] DepartmentofEconomicMathematics,SouthWesternUniversityofFinanceandEconomics

来源：

Applied Mathematics and Mechanics(English Edition) | 2013年 / 34卷 / 10期

关键词：

weak Knaster-Kuratouski-Mazurkiewicz(KKM) mapping; generalized finitely continuous space(GFC-space); minimax inequality; GFC-quasicovex;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

Some new weak Knaster-Kuratouski-Mazurkiewicz(KKM) theorems are proved under the noncompact situation in the generalized finitely continuous space(GFCspace) without any convexity. As applications, the minimax inequalities of the Ky Fan type are also given under some suitable conditions. The results unify and generalize some known results in recent literatures.

引用

页码：1291 / 1296

页数：6

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